457 citations · 2.3k across the 77 of their papers we have counts for
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Nodal deficiency of random spherical harmonics in presence of boundary
Valentina Cammarota, Domenico Marinucci, Igor Wigman
We consider a random Gaussian model of Laplace eigenfunctions on the hemisphere satisfying the Dirichlet boundary conditions along the equator. For this model we find a precise asy…
A Numerical Investigation on the High-Frequency Geometry of Spherical Random Eigenfunctions
Yabebal Fantaye, Valentina Cammarota, Domenico Marinucci +1
A lot of attention has been drawn over the last few years by the investigation of the geometry of spherical random eigenfunctions (random spherical harmonics) in the high frequency…
On the correlation between nodal and boundary lengths for random spherical harmonics
Domenico Marinucci, Maurizia Rossi
We study the correlation between the nodal length of random spherical harmonics and the measure of the boundary for excursion sets at any non-zero level. We show that the correlati…
Planck-scale distribution of nodal length of arithmetic random waves
Jacques Benatar, Domenico Marinucci, Igor Wigman
We study the nodal length of random toral Laplace eigenfunctions ("arithmetic random waves") restricted to decreasing domains ("shrinking balls"), all the way down to Planck scale.…
Non-Universality of Nodal Length Distribution for Arithmetic Random Waves
Domenico Marinucci, Giovanni Peccati, Maurizia Rossi +1
"Arithmetic random waves" are the Gaussian Laplace eigenfunctions on the two-dimensional torus (Rudnick and Wigman (2008), Krishnapur, Kurlberg and Wigman (2013)). In this paper we…
On the distribution of the critical values of random spherical harmonics
Valentina Cammarota, Domenico Marinucci, Igor Wigman
We study the limiting distribution of critical points and extrema of random spherical harmonics, in the high energy limit. In particular, we first derive the density functions of e…